A 2.3 m long straight horizontal wire carrying a current of 5.1 A along the + x

Question

A 2.3 m long straight horizontal wire carrying a current of 5.1 A along the +x-direction is in a region of uniform magnetic field, B. If the mass of this wire is 0.2 kg, find the magnitude and direction of the magnetic field necessary to have this wire "float" in the Earth's gravitational field. (Assume the force due to gravity is in the ?y-direction.) magnitude     direction     ---Select---+x-direction?x-direction+y-direction?y-direction+z-direction?z-direction A 2.3 m long straight horizontal wire carrying a current of 5.1 A along the +x-direction is in a region of uniform magnetic field, B. If the mass of this wire is 0.2 kg, find the magnitude and direction of the magnetic field necessary to have this wire "float" in the Earth's gravitational field. (Assume the force due to gravity is in the ?y-direction.) magnitude     direction     ---Select---+x-direction?x-direction+y-direction?y-direction+z-direction?z-direction magnitude     direction     ---Select---+x-direction?x-direction+y-direction?y-direction+z-direction?z-direction

Explanation / Answer

FB = Fg

B*I*L*sin(90) = m*g

==> B = m*g/(I*L)

= 0.2*9.8/(5.1*2.3)

= 0.167 T

direction towards -Z axis

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